Question: Plot the graph of ((x, y) = -(xy( together with its gradient field. (a) Based on this and Figures 5 and 6, make a conjecture

Plot the graph of ((x, y) = -(xy( together with its gradient field.
(a) Based on this and Figures 5 and 6, make a conjecture about the direction in which a gradient vector points.

(b) Is f differentiable at the origin? Justify your answer.

-5 -2 2 -2

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